A Subspace Based Approach to Pulse Design with Application to UWB Communications

In UWB systems, FCC mask puts a constraint on the Maximum Allowable Transmit Power (MATP) of a pulse. The transmit power of a pulse is an important parameter that determines the BER performance and range. In this paper a subspace based approach has been found to make the MATP optimization easier which otherwise seems intractable due to mask constraints. The design procedure begins with some pulse width and then we optimize for MATP. The obtained pulses turn out to have higher MATP than the known pulses of the same width. We show that using the proposed pulses, a lower BER than that of the existing pulses can be achieved. The proposed approach is applicable to the FCC mask or any other piecewise constant mask that may be proposed in future.